Dergiler / Turkish Journal of Mathematics / 2012 / Cilt: 36 - Sayı: 3
Hypercyclic tuples of the adjoint of the weighted composition operators
- Sayfa
- 452–462
- DOI
- —
Özet
An n-tuple of commuting operators, (T1,T2,...,Tn) on a Hilbert space \cal H is said to be hypercyclic, if there exists a vector x \in \cal H such that the set {T1k1 T2k2... Tnknx : ki \geq 0, i=1,2,...n} is dense in \cal H. In this paper, we give sufficient conditions under which the adjoint of an n-tuple of a weighted composition operator on a Hilbert space of analytic functions is hypercyclic.
Abstract
An n-tuple of commuting operators, (T1,T2,...,Tn) on a Hilbert space \cal H is said to be hypercyclic, if there exists a vector x \in \cal H such that the set {T1k1 T2k2... Tnknx : ki \geq 0, i=1,2,...n} is dense in \cal H. In this paper, we give sufficient conditions under which the adjoint of an n-tuple of a weighted composition operator on a Hilbert space of analytic functions is hypercyclic.